Question

Sione has some questions: "After the translation, what is the scale factor for the enlargement that carries circle A onto circle B? And, what is the scale factor for the reduction that carries circle B onto circle A?" How would you answer Sione's questions?

Answer 1

The scale factor for carrying circle A onto circle B is found by dividing the diameter of B by the diameter of A. The scale factor for carrying circle B onto circle A is the reciprocal of the enlargement scale factor.

Step-by-step explanation:

The scale factor for the enlargement that carries circle A onto circle B is the ratio of the new size to the original size. To find this, divide the diameter of circle B by the diameter of circle A. For example, if the diameter of B is 10 units and the diameter of A is 5 units, the scale factor is 10/5 = 2.

The scale factor for the reduction that carries circle B onto circle A is the reciprocal of the enlargement scale factor. In the example above, if the enlargement scale factor is 2, then the reduction scale factor is 1/2 = 0.5.